205332401 has 2 divisors, whose sum is σ = 205332402. Its totient is φ = 205332400.

The previous prime is 205332389. The next prime is 205332403. The reversal of 205332401 is 104233502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202322176 + 3010225 = 14224^2 + 1735^2 .

It is a cyclic number.

It is not a de Polignac number, because 205332401 - 2¹⁰ = 205331377 is a prime.

It is a super-3 number, since 3×205332401³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 205332403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205332403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102666200 + 102666201.

It is an arithmetic number, because the mean of its divisors is an integer number (102666201).

Almost surely, 2^205332401 is an apocalyptic number.

It is an amenable number.

205332401 is a deficient number, since it is larger than the sum of its proper divisors (1).

205332401 is an equidigital number, since it uses as much as digits as its factorization.

205332401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 205332401 is about 14329.4243080453. The cubic root of 205332401 is about 589.9553743898.

Adding to 205332401 its reverse (104233502), we get a palindrome (309565903).

The spelling of 205332401 in words is "two hundred five million, three hundred thirty-two thousand, four hundred one".